Online GCD Calculator is useful to find the GCD of 945, 380, 706, 343 quickly. Get the easiest ways to solve the greatest common divisor of 945, 380, 706, 343 i.e 1 in different methods as follows.
Given Input numbers are 945, 380, 706, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (945, 380, 706, 343) = 1.
Given numbers are 945, 380, 706, 343
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 706 are 2 x 353
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 945, 380, 706, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 380) = 71820
GCD(945, 380) = ( 945 x 380 ) / 71820
= 945 / 380
= 945
Step2:
LCM(5, 706) = 3530
GCD(5, 706) = ( 5 x 706 ) / 3530
= 5 / 706
= 5
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 945, 380, 706, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 945, 380, 706, 343
The greatest common divisor of numbers 945, 380, 706, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 380, 706, 343 is 1.
1. What is the GCD of 945, 380, 706, 343?
GCD of given numbers 945, 380, 706, 343 is 1
2. How to calculate the greatest common divisor of 945, 380, 706, 343?
We can find the highest common divisor of 945, 380, 706, 343 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 945, 380, 706, 343 i.e 1.
3. How can I use the GCD of 945, 380, 706, 343Calculator?
Out the numbers 945, 380, 706, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.